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Finding the Third Proportional to 11,530 and 17,399

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Solution

The third proportional to 11,530 and 17,399 is: 26,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530 : 17,399 = 17,399 : x
  2. Step 2: Convert to fraction form
    11,530/17,399 = 17,399/x
  3. Step 3: Cross multiply
    11,530x = 17,399 × 17,399
  4. Step 4: Simplify right side
    11,530x = 302,725,201
  5. Step 5: Solve for x
    x = 302,725,201/11,530
  6. Step 6: Final answer
    x = 26,255.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.